what must be subtracted from x^3 - 4x^2 + 3x - 9 to obtain a polynomial which is exactly divisible by (x-2)?

The shape in the 16th term of the pattern is a circle

The pattern rule is given as: triangle, plus, star, circle.

The pattern repeats every 4 terms. So, we have:

The 16th term is the last term on the 4th repetition

Hence, the shape in the 16th term of the pattern is a circle

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Answer:8/block

Step-by-step explanation:16/2=18 hope this helps

Answer:

8

Step-by-step explanation:

16 houses divided by 2 blocks

16/2=8

8x2=16

Answer:

770

Step-by-step explanation:

So start by adding 140 + 70 and then you get 210 and then so you muliply 70*11 and you get 770.      :D

Answer:

half eaten pizza has greater circumference

Step-by-step explanation:

full eaten pizza's circumference = 2πr

= 2 * 3.14 * 7 = 43.96 inches

half eaten pizza's circumference = πd

= 3.14 * 20

=62.8 inches

Answer:

a) 24 square feet

b) $12

Step-by-step explanation:

You want to make a retangular prism out of cardboard. The base is 3 feet by 4 feet. The height is 2 feet. You have $5.00 and cardboard costs .10 per square foot.

a) What is the surface area of the rectangular prism?

Length × Width × Height

3 feet × 4 feet × 2 feet

= 24 square feet

b).How much will it cost to make the rectangular prism out of cardboard?

1 ft² = $0.5

24 ft² = x

Cross Multiply

x = 24ft² × $0.5/1 ft²

x = $12

It would cost $12 to make the rectangular prism out of the cardboard. You do not have sufficient money to make it

Answer:

Step-by-step explanation:

Number of successful free throws:

Based on evidence from the passage, the most likely inference is that plastic makes life convenient, but its uses have so many cons that its use should be reduced. The answer is option B

The pair of examples that best demonstrate why the use of plastic is a divisive topic is Plastic has advantages and Plastic is difficult to recycle efficiently. The answer is option (B)

Plastic makes life convenient, but its uses have so many cons that its use should be reduced is the most likely inference based on the evidence from the passage. It is tough to recycle due to low value when recycled, especially for single-use and convenience items like packaging and water bottles. Most of the plastic produced is not recycled and either ends up in landfills or as pollution in the environment.

The example: Plastic has advantages and the example: Plastic is difficult to recycle efficiently best demonstrates why the use of plastic is a divisive topic. Although plastic has numerous advantages, including making life convenient, it has a variety of drawbacks. Most of the plastic produced is not recycled, but rather ends up in landfills or as pollution in the environment.

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Answer:

x = \(\sqrt{2}\)  ; y = 2

Step-by-step explanation:

You have a 45 -45 - 90 triangle.  There are two things to know"

1. The hypothenuse = leg × \(\sqrt{2}\)

2. The legs are equal.

The hypothenuse is opposite the right angle that is "y" in this problem.

Hypothenuse = leg × \(\sqrt{2}\)

                       = \(\sqrt{2} \sqrt{2} = \sqrt{4} = 2\)

The legs are =

Therefore x = \(\sqrt{2}\)

I think one two and three are correct if you do the math and put the numbers in the perenthisis (x on the left, y on the right) to the equation then you will get the answer.

The percentage of items that will weigh at least 11.7 ounces is 3.22%.

The weight of items produced by a machine is normally distributed with a mean (μ) of 8 ounces and a standard deviation (σ) of 2 ounces. We need to determine the percentage of items that will weigh at least 11.7 ounces using this information. The given information is as follows:

Mean (μ) = 8 ounces

Standard deviation (σ) = 2 ounces

Let X be the weight of the item produced by the machine.

Then the random variable X ~ N(8, 2²) = N(8, 4)

We need to find the percentage of items that will weigh at least 11.7 ounces. That isP(X ≥ 11.7)

We can calculate it as follows:

z = (11.7 - μ) / σ = (11.7 - 8) / 2 = 1.85

P(X ≥ 11.7) = P(Z ≥ 1.85)

We can look up this probability in the standard normal distribution table or use a calculator.

Using the standard normal distribution table, we can find that the probability of a Z-value being greater than or equal to 1.85 is approximately 0.0322.

Therefore, the percentage of items that will weigh at least 11.7 ounces is:

P(X ≥ 11.7) = P(Z ≥ 1.85) ≈ 0.0322 ≈ 3.22%

Therefore, the answer is 3.22%.

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Answer:The graph will show that on 0 days it costs 0 dollars. On day 1,2, and 3 it will be $6

Step-by-step explanation:I hope this helps! Have a great day

Answer:

all real numbers

Step-by-step explanation:

simplify each side of the inequality

26 + 6b -- already fully simplified

2(3b + 4) → 6b + 8

26 + 6b ≥ 6b + 8

subtract 6b from both sides

26 ≥ 8

since this expression is true (26 is greater than 8), then the solution is all real numbers. any value could take the place of b because in the end, it will be canceled out by itself, resulting in 26 ≥ 8

The larger the value of K in the moving averages method and the smaller the value of α in the exponential smoothing method, the better the forecasting accuracy.

In forecasting, the choice of parameters plays a crucial role in determining the accuracy of the predictions. The moving averages method and exponential smoothing method are two commonly used techniques for time series forecasting. The selection of the appropriate values for the parameters, such as K in the moving averages method and α in the exponential smoothing method, significantly impacts the forecasting performance.

Let's first discuss the moving averages method. In this method, the forecast for a given period is calculated by averaging the values of the previous K periods. The value of K represents the number of periods included in the average. When K is larger, it incorporates a greater number of historical data points into the forecast, resulting in a smoother estimation of the underlying trend. This helps to reduce the impact of random fluctuations or noise in the data, leading to more stable and accurate predictions. Therefore, a larger value of K in the moving averages method tends to improve forecasting accuracy.

Moving on to the exponential smoothing method, it assigns exponentially decreasing weights to the previous observations, giving more importance to recent data. The parameter α (alpha) determines the weight assigned to the most recent observation. When α is smaller, it places higher emphasis on the past observations, making the forecast more responsive to changes in the underlying trend. This can be beneficial in scenarios where there are significant variations or sudden shifts in the data pattern. By capturing and reacting to recent changes, a smaller value of α in the exponential smoothing method can enhance forecasting accuracy.

However, it is important to note that the impact of K and α on forecasting accuracy may vary depending on the characteristics of the data. There is no one-size-fits-all approach, and the choice of parameters should be tailored to the specific time series being analyzed. In some cases, a smaller K or a larger α might be more suitable if the data exhibits rapid fluctuations or short-term patterns. Conversely, a larger K or a smaller α might be appropriate for data with a slow-changing trend or long-term patterns.

Hence, while it is generally true that a larger value of K in the moving averages method and a smaller value of α in the exponential smoothing method tend to improve forecasting accuracy, it ultimately depends on the nature of the data and the specific patterns present in the time series. Careful experimentation and analysis are necessary to determine the optimal values of K and α for each forecasting scenario, ensuring the best possible accuracy in predictions.

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The weights of the liters of water are 49.75 kg and 4.975 kg

From the question, we have the following parameters that can be used in our computation:

1l of water weighs almost 0,995 kg.

This means that

Weight = 0,995 kg

For 50 l, we have

Weight = 50 * Weight  of 1 liter

Substitute the known values in the above equation, so, we have the following representation

Weight = 0,995 * 50 kg

Evaluate

Weight = 49.75 kg

For 0.5 l, we have

Weight = 0.5 * Weight  of 1 liter

So, we have

Weight = 0.995 * 0.5 kg

Evaluate

Weight = 4.975 kg

Hence, the weights are 49.75 kg and 4.975 kg

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Answer:

\(x = 4\)

\(ac = 56\)

Step-by-step explanation:

\(6x + 3 = 7x - 1\)

\(7x - 6x = 3+ 1\)

\(6x + 3 + 7x + 1 = 56\)

\(x = 4\)

The isosceles trapezoid symmetry about the line b indicates that the transformation that maps the trapezoid onto itself is the option

An isosceles trapezoid is a trapezoid in which the the length of the slant side are congruent.

The transformations that maps the isosceles trapezoid onto itself are a reflection across the line of symmetry, or a rotation of 360° about the center of the isosceles trapezoid, which is about point P

Therefore, the option that indicates the transformation that must map the isosceles trapezoid exactly onto itself is the option

The line b that bisects each side and passes through the point P, where P is the center, is a line of symmetry such that the shape of the isosceles trapezoid is symmetrical about the line b

The image of the isosceles trapezoid is the same on both sides of the line b, such that a reflection across the line b maps the isosceles trapezoid exactly unto itself.

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Answer:

The value of x is 8.1

Step-by-step explanation:

We can use SOH CAH TOA to find our answer.

In this acronym, O is the opposite side, A is the adjacent side, and H is the hypotenuse. S is for the SIN function. C is for the COS function. T is for the TAN function.

We can calculate the length of the string by using the COS function.

So we can say the tangent of angle \(\beta\) is the opposite side divided by the adjacent side.

\(tan( \beta)=\frac{O}{A}\)

We are given the angle and the opposite side. We are looking for the adjacent side.

Lets solve for \(A\).

Take the reciprocal of both sides.

\(\frac{1}{tan(\beta)} =\frac{A}{O}\)

Multiply both sides by \(O\).

\(\frac{1}{tan(\beta)} *O=A\)

We are given

\(\beta=56\textdegree \\O=12\)

\(\frac{1}{tan(56)} *12=A\)

\(A=8.0941022\)

Answer:

The interquartile range of data for Music Player X is greater than the interquartile range of the data for Music Player Y.

Step-by-step explanation:

just took the test

Answer:

The value of a is 15.

Step-by-step explanation:

First, you have to find the total interior angles of the polygon using the formula, sum = (n-2)×180°, where n represents the number of sides :

sum = (n-2)×180°

sum = (5-2)×180°

sum = 540°

Given that the sum of the interior angle is 540° so in order to find the value of a, you have to add up all the angles in terms of a :

3a + 150 + 8a + 6a + 9a = 540

26a + 150 = 540

26a = 390

a = 390 ÷ 26

a = 15

It will represent the change in temperature between midnight and 6, the correct option is C.

H(t) is the rate at which the temperature changes. So, if we integrate H(t), we will get the change of temperature.

In this case, we have:

\(\int\limits^6_0 {H(t)} \, dt\)

This will give the change in temperature between 6:00 AM (represented by the 6) and midnight (represented with the 0).

So the correct option is C.

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Answer:

1 1/2

Step-by-step explanation:

1in=8 and the next inch would be at 16 miles 12 miles would only be half so 1 1/2 inches

Given the triangle shown in the picture, you can identify that:

- It has three congruent angles (they have the same measure):

- Its three sides have the same length:

In order to solve this exercise you need to remember that, by definition:

- A Isosceles Triangle has two sides that have the same length and two congruent angles.

- An Equilateral Triangle is a triangle whose sides have all the same lengths and its interior angles have the same measure.

- A Right Triangle has an angle that measures 90 degrees.

- A Scalene Triangle has three sides of different lengths.

- An Acute Triangle whose angles measure less than 90 degrees.

Therefore, you can conclude that the given triangle is an Equilateral Triangle.

Hence, the answer is: Second option.

Answer:

Wrong division to post a question of this kind, BUT a membrane is a a thin sheet of tissue or layer of cells acting as a boundary, lining, or partition in an organism,... yes I looked it up,...

Chow,...!

The Probability of rolling a prime number and then rolling a multiple of 2 is 1/4 or 0.25.

A number cube is rolled, there are six possible outcomes: 1, 2, 3, 4, 5, and 6. To determine the probability of rolling a prime number and then rolling a multiple of 2, we need to first identify the prime numbers and the multiples of 2.

The prime numbers are 2, 3, and 5. There are three prime numbers out of a total of six possible outcomes, so the probability of rolling a prime number on the first roll is 3/6 or 1/2.

The multiples of 2 are 2, 4, and 6. There are three multiples of 2 out of a total of six possible outcomes, so the probability of rolling a multiple of 2 on the second roll is also 3/6 or 1/2.

To find the probability of both events occurring, we can multiply the probabilities of each event. Therefore, the probability of rolling a prime number and then rolling a multiple of 2 when a number cube is rolled twice is:

(1/2) × (1/2) = 1/4

So the probability of rolling a prime number and then rolling a multiple of 2 is 1/4 or 0.25.

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Co-operative machine learning in a multi-agent environment involves selective collaboration between different agents. In the context of medicine delivery in a hospital, a multi-agent system can be designed to ensure timely delivery of prescribed medicines to patient rooms.

Co-operative machine learning in a multi-agent environment involves the collaboration of different types of agents to achieve a common goal. In the case of medicine delivery in a hospital, a multi-agent system can be designed to streamline the process. The system would consist of agents responsible for specific tasks such as retrieving medications from the pharmacy, transporting them, and delivering them to patient rooms. By working together selectively, these agents can ensure that prescribed medicines reach the intended patients within the required timeframe of half an hour.

Each agent in the system would have a specific function. For instance, the medication retrieval agent would be responsible for collecting the prescribed medicines from the pharmacy, while the transport agent would handle the transportation of medications from the pharmacy to the patient floors. The delivery coordination agent would oversee the entire process, ensuring proper communication and coordination between the agents.

The PEAS framework (Performance measure, Environment, Actuators, Sensors) would guide the agents' behavior and decision-making process. The performance measure would focus on the timely delivery of medicines to the correct patient rooms. The environment would include the hospital layout, patient rooms, pharmacy, and transportation routes. The actuators would be the physical mechanisms used by the agents for medication retrieval, transport, and delivery. The sensors would provide information about the environment, such as the availability of medications, the location of patient rooms, and the status of deliveries.

To optimize the delivery routes and ensure efficient medicine delivery, the "Best first search" algorithm can be employed. This algorithm explores the search space by prioritizing the most promising paths based on heuristic values. Euclidean distance can be used as a heuristic to estimate the distance between the agent's current location and the target patient room, helping to determine the most optimal route for medicine delivery.

By utilizing co-operative machine learning, designing a multi-agent system with designated functions, applying the PEAS framework, and employing the "Best first search" algorithm with Euclidean distance as a heuristic, the medicine delivery process in a hospital can be streamlined, ensuring prompt and accurate delivery to patients in need.

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Therefore, options c and e are true regarding normal probability distribution with mean μ and standard deviation σ

To answer your question, let's briefly discuss each of the given options:
a. This statement is false. A normal probability distribution can have values beyond 4, depending on its mean and standard deviation.
b. This statement is false. Half of the normally distributed data falls below the mean, not necessarily 0.
c. This statement is true. In a normal distribution, the area to the left of one standard deviation below the mean is equal to the area to the right of one standard deviation above the mean.
d. This statement is false. A larger standard deviation results in a wider/spread-out curve, not a skinnier/tighter one.
e. This statement is true. When the standard deviation is 1 and the mean is 0, it is called the standard normal distribution.

Therefore, options c and e are true regarding normal probability distribution with mean μ and standard deviation σ.

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